The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  1  0  1  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  3  3  3  6  3  0  0  3  6
 0  1  1  8  0  7  8  1  0  7  3  7  8  1  2  1  0  3  3  6  7  4  1  1  3  1  2  8  2  2  5  1  1  1  1  1  1  1  1  1  1
 0  0  6  0  3  6  3  0  6  3  6  0  6  3  6  6  0  3  3  0  3  3  0  0  6  6  6  0  3  3  0  3  6  3  0  6  3  3  0  0  0
 0  0  0  3  3  6  6  3  0  0  3  6  3  0  6  3  3  6  0  6  3  6  3  0  6  3  0  6  0  3  0  6  0  0  3  3  3  3  6  0  0

generates a code of length 41 over Z9 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+78x^78+324x^79+62x^81+54x^84+24x^87+162x^88+18x^90+6x^96

The gray image is a code over GF(3) with n=123, k=6 and d=78.
This code was found by Heurico 1.16 in 0.036 seconds.